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134254320 = 24351035431
BaseRepresentation
bin10000000000010…
…00111011110000
3100100121211022020
420000020323300
5233332114240
621153311440
73220100004
oct1000107360
9310554266
10134254320
1169868292
1238b65580
1321a78035
1413b8a704
15bbbe0d0
hex8008ef0

134254320 has 80 divisors (see below), whose sum is σ = 420306432. Its totient is φ = 35447040.

The previous prime is 134254313. The next prime is 134254333. The reversal of 134254320 is 23452431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22005 + ... + 27435.

Almost surely, 2134254320 is an apocalyptic number.

134254320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134254320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210153216).

134254320 is an abundant number, since it is smaller than the sum of its proper divisors (286052112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134254320 is a wasteful number, since it uses less digits than its factorization.

134254320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 134254320 is about 11586.8166465169. The cubic root of 134254320 is about 512.0465249063.

The spelling of 134254320 in words is "one hundred thirty-four million, two hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4944 5431 6180 8240 10862 12360 16293 21724 24720 27155 32586 43448 54310 65172 81465 86896 108620 130344 162930 217240 260688 325860 434480 559393 651720 1118786 1303440 1678179 2237572 2796965 3356358 4475144 5593930 6712716 8390895 8950288 11187860 13425432 16781790 22375720 26850864 33563580 44751440 67127160 134254320